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Simplifying 7(a + 1) + -3a = 5 + 4(a + -1) * 2 Reorder the terms: 7(1 + a) + -3a = 5 + 4(a + -1) * 2 (1 * 7 + a * 7) + -3a = 5 + 4(a + -1) * 2 (7 + 7a) + -3a = 5 + 4(a + -1) * 2 Combine like terms: 7a + -3a = 4a 7 + 4a = 5 + 4(a + -1) * 2 Reorder the terms: 7 + 4a = 5 + 4(-1 + a) * 2 Reorder the terms for easier multiplication: 7 + 4a = 5 + 4 * 2(-1 + a) Multiply 4 * 2 7 + 4a = 5 + 8(-1 + a) 7 + 4a = 5 + (-1 * 8 + a * 8) 7 + 4a = 5 + (-8 + 8a) Combine like terms: 5 + -8 = -3 7 + 4a = -3 + 8a Solving 7 + 4a = -3 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 7 + 4a + -8a = -3 + 8a + -8a Combine like terms: 4a + -8a = -4a 7 + -4a = -3 + 8a + -8a Combine like terms: 8a + -8a = 0 7 + -4a = -3 + 0 7 + -4a = -3 Add '-7' to each side of the equation. 7 + -7 + -4a = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = -3 + -7 -4a = -3 + -7 Combine like terms: -3 + -7 = -10 -4a = -10 Divide each side by '-4'. a = 2.5 Simplifying a = 2.5
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